systems of equations

Mathematics
Tutor: None Selected Time limit: 1 Day

x-y=3

x+y=5

May 20th, 2015

The easiest way to solve this equation is by graphing.

To solve a system of equations, you can use 2 methods. You can, one, graph the equations and find the intersection, or two,  eliminate a variable.

1. Graphing: we can put the two equations in standard form, or y=mx+b, with m being the slope and b being the y-intercept. So, your two equations are y=x-3 and y=-x+5.


We can see the intersection is (4,1), so x=4 and y=1.

2. Elimination: We can try to eliminated one of the variables, solve for the other, and plug that back in to solve for the other. In this case, let's try to eliminate x. 

x-y=3

x+y=5

By subtracting these equations from each other, since x-x=0, -y-y=-2y, and 3-5=-2, our new equation becomes      0-2y=-2. If we divide both sides by -2, we get y=1. We can then take any of the original equations, x-y=3, and plug it in. So, x-(1)=3, so x=4.

May 21st, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
May 20th, 2015
...
May 20th, 2015
Dec 6th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer